• Title/Summary/Keyword: Constant-of-strain

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Modeling of an elastomer constitutive relation

  • Sung, Dan-Keun
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.1018-1021
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    • 1988
  • This study is concerned with modeling an elastomer constitutive relation by utilizing the truncated Volterra series. Actual experimental data from the Instron Tester are obtained for combined input, i.e. constant strain rate followed by a constant strain input. These data are then estimated for step inputs and utilized for the truncated Volterra series models. One second order and one third order truncated Volterra series models have been employed to estimated the force-displacement relation which is one of the prominent properities to characterize the viscoelastic material. The third order Volterra series model has better results, compared with those of the second order Volterra series model.

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Domain Contribution in the Electric-field-induced Strain of PZT Ceramics

  • Tsurumi, Takaaki
    • The Korean Journal of Ceramics
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    • v.7 no.1
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    • pp.30-35
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    • 2001
  • The contribution of the non-$180^{\circ}C$ domains to the electric-field-induced strains (EFI-strains) of PZT ceramics was evaluated by an XRD method and by an interferometric method. The XRD intensity ratio of 200 and 002 diffraction peaks of tetragonal PZT was measured under strong electric fields. The amount of the $90^{\circ}$ domain reorientation was evaluated and the strain due to the domain reorientation was calculated. It was confirmed that the EFI-strain of PZT ceramics was equal to the sum of the strain calculated from the d$_33$ constant determined by the resonance-antiresonance method and the strain due to the $90^{\circ}$ domain reorientation. The amount of the $90^{\circ}$domain reorientation has a linear relation with the c/a ratio in the "soft" PZT ceramics. A Mech-Zehnder interferometer was constructed to measure the EFI-strains vs. electric-field curves of PZT ceramics as a function of frequency. The EFI-strain vs. electric-field curve showed a hysteresis due to the effect of the non-$180^{\circ}$ domain reorientation when the applied voltage was high and its frequency was low. The apparent piezoelectric constant increased from the d$_33$ value determined by the resonance-antiresonance method with decreasing frequency. This deviation was attributed to the non-$180^{\circ}$ domain contribution.tribution.

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Evaluation of SCC Susceptibility of Weld HAZ in Structural Steel(I) -material properties and strain rate- (강용접부의 응력부식크랙감수성 평가에 관한 연구 I -재료특성과 변형률 속도-)

  • 임재규;정대식;정세희
    • Journal of Welding and Joining
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    • v.11 no.3
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    • pp.48-60
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    • 1993
  • The cause of corrosion failure found in structures or various components operating in severe corrosive environments has been attributed to stress corrosion cracking(SCC)which is resulting from the combined effects of corrosive environments and static tensile stress. Slow strain rate test (SSRT) provides a rapid reliable method to determine SCC susceptibility of metals and alloys for a broad range of application. The chief advantage of SSRT procedures is that it is much more aggressive in producing SCC than conventional constant strain or constant load tests, so that the testing time is considerably reduced. Therefore, in this paper, the combined effects of material properties and strain rate on the tensile ductility and fracture morphology of parents and weldment for SM45C, SCM440 and SM20C steels were examined and discussed in synthetic sea water. The susceptibility of SCC was the most severe under the strain rate of $1.0{\times}10^{-6} sec^{-1}$, and R.O.A. can be used for parent and maximum load for weldment to evaluate the parameter for SCC susceptibility.

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The Characteristic of Swelling Index Evaluated by CRS Consolidation Test (일정변형속도(CRS) 압밀시험에 의한 팽창지수 산정 특성)

  • 한상재;김수삼;김병일;이응준
    • Journal of the Korean Geotechnical Society
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    • v.19 no.5
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    • pp.311-317
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    • 2003
  • The swelling index of clayey soil was examined by constant rate of strain(CRS) consolidation test. Four kinds of strain rate were applied during unloading. The strain rates are l/l, l/5, 1/10, l/l 5 of loading. The strain rates during loading are 0.05%/min and 0.03%/min. From the test results using standard consolidometer, the swelling indexes were much similar values in case of 1/5 or 1/10 of the strain rate during loading stage. In the relation between effective stress and excess pore water pressure ratio, it was found that the existence of cross point and the stress level can be separated into two zones according to the swelling index.

Evaluation of Deformation Behavior of Nuclear Structural Materials under Cyclic Loading Conditions via Cyclic Stress-Strain Test (반복 응력-변형률 시험을 통한 반복하중 조건에서 원전 주요 구조재료의 변형거동 평가)

  • Kim, Jin Weon;Kim, Jong Sung;Kweon, Hyeong Do
    • Transactions of the Korean Society of Pressure Vessels and Piping
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    • v.13 no.1
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    • pp.75-83
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    • 2017
  • This study investigated deformation behavior of major nuclear structural materials under cyclic loading conditions via cyclic stress-strain test. The cyclic stress-strain tests were conducted on SA312 TP316 stainless steel and SA508 Gr.3 Cl.1 low-alloy steel, which are used as materials for primary piping and reactor pressure vessel nozzle respectively, under cyclic load with constant strain amplitude and constant load amplitude at room temperature (RT) and $316^{\circ}C$. From the results of tests, the cyclic hardening and softening behavior, stabilized cyclic stress-strain behavior, and ratcheting behavior of both materials were investigated at both RT and $316^{\circ}C$. In addition, appropriate considerations for cyclic deformation behavior in the structural integrity evaluation of major nuclear components under excessive seismic condition were discussed.

Solution for surrounding rock of strain-softening considering confining pressure-dependent Young's modulus and nonlinear dilatancy

  • Liang, Peng;Gao, Yongtao;Zhou, Yu;Zhu, Chun;Sun, Yanhua
    • Geomechanics and Engineering
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    • v.22 no.4
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    • pp.277-290
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    • 2020
  • This paper presents an elastic-plastic solution for the circular tunnel of elastic-strain softening behavior considering the pressure-dependent Young's modulus and the nonlinear dilatancy. The proposed solution is verified by the results of the field measuring and numerical simulation from a practical project, and a published closed-form analysis solution. The influence of each factor is discussed in detail, and the ability of Young's modulus and dilatancy characterizing the mechanical response of surrounding rock is investigated. It is found that, in low levels of support pressure, adopting the constant Young's modulus model will seriously misestimate the surrounding rock deformation. Using the constant dilatancy model will underestimate the surrounding rock deformation. When adopting the constant dilatancy model, as the dilation angle increases, the range of the plastic region increases, and the surrounding rock deformation weakens. When adopting the nonlinear dilatancy, the plastic region range and the surrounding rock deformation are the largest. The surrounding rock deformation using pressure-dependent Young's modulus model is between those resulted from two constant Young's modulus models. The constant α of pressuredependent Young's modulus model is the main factor affecting the tunnel displacement. The influence of α using a constant dilatancy model is much more apparent than that using a nonlinear dilatancy model.

The Study of the Variation of Strain Rate Sensitivity Index depending on the Strain and Microstructural Observations of AZ31 Mg Alloy Sheet (변형율에 따른 AZ31 합금의 변형율 속도 민감도 지수 변화와 미세조직 특성에 관한 연구)

  • Kim, D.O.;Kang, C.W.;Lee, S.Y.
    • Transactions of Materials Processing
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    • v.20 no.7
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    • pp.498-503
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    • 2011
  • The strain rate sensitivity index, m, plays an important role in plastic deformation at elevated temperatures. It is affected by strain rate, temperature, and the microstructure of the material. The strain rate sensitivity index has been used as a constant in numerical analysis of plastic forming at a specified strain rate and temperature. However, the value of m varies as deformation proceeds at an elevated temperature and a certain strain rate. Thus, in this present study, the value of m has been characterized as a function of strain by multiple tensile jump tests for AZ31 magnesium alloy sheet, and the variation of m has been discussed in conjunction with the microstructural observations before and after deformation. The experimental results show that the variation of m is dependent on the temperature and strain rate. Grain growth with dynamic recrystallization also affects the variation of m.

Strain Analysis for Quality Factor oft he Layered Mg0.93Ca0.07TiO3-(Ca0.3Li0.14Sm0.42)TiO3 Ceramics at Microwave Frequencies

  • Cho, Joon-Yeob;Yoon, Ki-Hyun;Kim, Eung-Soo
    • Journal of the Korean Ceramic Society
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    • v.39 no.3
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    • pp.222-225
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    • 2002
  • Microwave dielectric properties of the layered and functionally graded materials (FGMs) of $Mg_{0.93}Ca_{0.07}TiO_3$ (MCT) and $(Ca_{0.3}Li_{0.14}Sm_{0.42})TiO_3$(CLST) were investigated as a function of the volume ratio of two components. Dielectric constant was decreased with an increase of the volume ratio of MCT which had a lower dielectric constant thant CLST. For the layered FGMs specimens, the difference of thermal expansion coefficients between two components induced thermal strain to dielectric layers, which was confirmed by the plot of ${\Delta}$k (X-ray diffraction peak width0 versus k (scattering vector) using the double-peak Lorentzian function, f(x). Quality factor of the specimens was affected by the thermal strain of dielectric layer, especially MCT layer. For the specimen with the volume ratio of MCT/CLST = 2, the qulaity factor of the specimen showed a minimum value due to the maximum thermal strain fo MCT layer.

High Temperature Creep Behavior in Al-Mg(Zn)-Fe Alloys

  • Bae, Chang-Hwan;Lee, Ju-Hee;Han, Chang-Suk
    • Korean Journal of Materials Research
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    • v.20 no.1
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    • pp.37-41
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    • 2010
  • Creep tests were conducted under a condition of constant stress on two aluminum-based alloys containing particles: Al-5% Mg-0.25% Fe and Al-5% Zn-0.22% Fe. The role of grain boundary sliding was examined in the plane of the surface using a square grid printed on the surface by carbon deposition and perpendicular to the surface using two-beam interferometry. Estimates of the contribution of grain boundary sliding to the total strain, $\varepsilon_{gbs}/\varepsilon_t$ reveal two trends; (i) the sliding contribution is consistently higher in the Al-Mg-Fe alloy, and (ii) the sliding contribution is essentially independent of strain in the Al-Mg-Fe alloy, but it shows a significant decrease with increasing strain in the Al-Zn-Fe alloy. Sliding is inhibited by the presence of particles and its contributions to the total strain are low. This inhibition is attributed to the interaction between the grain boundary dislocations responsible for sliding and particles in the boundaries.

Temperature Dependence on Elastic Constant of SiC Ceramics (SiC 세라믹스 탄성률의 온도 의존성)

  • Im, Jong-In;Park, Byoung-Woo;Shin, Ho-Yong;Kim, Jong-Ho
    • Journal of the Korean Ceramic Society
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    • v.47 no.6
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    • pp.491-497
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    • 2010
  • In this paper, we employed the classical molecular dynamics simulations using Tersoff's potential to calculate the elastic constants of the silicon carbide (SiC) crystal at high temperature. The elastic constants of the SiC crystal were calculated based on the stress-strain characteristics, which were drawn by the simulation using LAMMPS software. At the same time, the elastic constants of the SiC ceramics were measured at different temperatures by impulse excitation testing (IET) method. Based on the simulated stress-strain results, the SiC crystal showed the elastic deformation characteristics at the low temperature region, while a slight plastic deformation behavior was observed at high strain over $1,000^{\circ}C$ temperature. The elastic constants of the SiC crystal were changed from about 475 GPa to 425 GPa by increasing the temperature from RT to $1,250^{\circ}C$. When compared to the experimental values of the SiC ceramics, the simulation results, which are unable to obtain by experiments, are found to be very useful to predict the stress-strain behaviors and the elastic constant of the ceramics at high temperature.